Information on Result #709947
Linear OA(559, 147, F5, 22) (dual of [147, 88, 23]-code), using construction XX applied to C1 = C([119,15]), C2 = C([1,16]), C3 = C1 + C2 = C([1,15]), and C∩ = C1 ∩ C2 = C([119,16]) based on
- linear OA(549, 124, F5, 21) (dual of [124, 75, 22]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,15}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(539, 124, F5, 16) (dual of [124, 85, 17]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(552, 124, F5, 22) (dual of [124, 72, 23]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,16}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(536, 124, F5, 15) (dual of [124, 88, 16]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(57, 20, F5, 5) (dual of [20, 13, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 21, F5, 5) (dual of [21, 14, 6]-code), using
- linear OA(50, 3, F5, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.